Home / 1,580.25-2,368.53-931.44

Finding the Fourth Proportional to 1,580.25, 2,368.53 and 931.44

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Solution

The fourth proportional to 1,580.25, 2,368.53 and 931.44 is: 1,396.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.25 : 2,368.53 = 931.44 : x
  2. Step 2: Convert to fraction form
    1,580.25/2,368.53 = 931.44/x
  3. Step 3: Cross multiply
    1,580.25x = 2,368.53 × 931.44
  4. Step 4: Simplify right side
    1,580.25x = 2,206,143.58
  5. Step 5: Solve for x
    x = 2,206,143.58/1,580.25
  6. Step 6: Final answer
    x = 1,396.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.